CRITICAL SLOWING DOWN ALONG THE DYNAMIC PHASE BOUNDARY IN ISING MEANFIELD DYNAMICS

Muktish Acharyya () and Ajanta Bhowal Acharyya ()
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Muktish Acharyya: Department of Physics, Presidency College, 86/1 College Street, Calcutta-700073, India
Ajanta Bhowal Acharyya: Department of Physics, Lady Brabourne College, P-1/2 Surawardy Avenue, Calcutta-700017, India

International Journal of Modern Physics C (IJMPC), 2010, vol. 21, issue 04, 481-487

Abstract: We studied the dynamical phase transition in kinetic Ising ferromagnets driven by oscillating magnetic field in meanfield approximation. The meanfield differential equation was solved by sixth-order Runge–Kutta–Felberg method. The time-averaged magnetization plays the role of the dynamic order parameter. We studied the relaxation behavior of the dynamic order parameter close to the transition temperature, which depends on the amplitude of the applied magnetic field. We observed the critical slowing down along the dynamic phase boundary. We proposed a power law divergence of the relaxation time and estimated the exponent. We also found its dependence on the field amplitude and compared the result with the exact value in limiting case.

Keywords: Ising model; meanfield theory; dynamic transition; relaxation time; critical slowing down (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1142/S0129183110015233

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